6132228962400 has 360 divisors, whose sum is σ = 22505523773040. Its totient is φ = 1624842685440.

The previous prime is 6132228962399. The next prime is 6132228962437. The reversal of 6132228962400 is 42698222316.

6132228962400 is a `hidden beast` number, since 6 + 1 + 322 + 2 + 89 + 6 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×6132228962400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9872221 + ... + 10474979.

It is an arithmetic number, because the mean of its divisors is an integer number (62515343814).

Almost surely, 2^{6132228962400} is an apocalyptic number.

6132228962400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6132228962400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11252761886520).

6132228962400 is an abundant number, since it is smaller than the sum of its proper divisors (16373294810640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6132228962400 is a wasteful number, since it uses less digits than its factorization.

6132228962400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602948 (or 602926 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 6132228962400 in words is "six trillion, one hundred thirty-two billion, two hundred twenty-eight million, nine hundred sixty-two thousand, four hundred".